Abstract

We describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map
lattices with five different connection forms. A key issue addressed is to find nonlinear
feedback functions. Two large types of nonlinear feedback functions are introduced. The
efficient and robustness of the method based on the flexibility of choices of nonlinear
feedback functions are discussed. Various numerical results of nonlinear control are
given. We have not found any difficulty for study both of control and synchronization
using nonlinear feedback functional method. The method can also be extended to time
continuous dynamical systems as well as to society problems.